Optimal Quadratic Programming Algorithms With Applications to Variational Inequalities /

• Main Author: Dostál, Zdenek (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Springer US, 2009.
• Series: Springer Optimization and Its Applications, 23
• Subjects: Mathematics.; Numerical analysis.; Calculus of variations.; Operations research.; Management science.; Applied mathematics.; Engineering mathematics.; Calculus of Variations and Optimal Control; Optimization.; Operations Research, Management Science.; Appl.Mathematics/Computational Methods of Engineering.; Numerical Analysis.

Solving optimization problems in complex systems often requires the implementation of advanced mathematical techniques. Quadratic programming (QP) is one technique that allows for the optimization of a quadratic function in several variables in the presence of linear constraints. QP problems arise i...

Table of Contents:

• I Background
• Linear Algebra
• Optimization
• II Algorithms
• Conjugate Gradients for Unconstrained Minimization
• Equality Constrained Minimization
• Bound Constrained Minimization
• Bound and Equality Constrained Minimization
• III Applications to Variational Inequalities
• Solution of a Coercive Variational Inequality by FETI#x2014;DP Method
• Solution of a Semicoercive Variational Inequality by TFETI Method.